It is a system of linear equations which does not have a solution.
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It depends on the equations.
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
the equation graphs
A linear equation in n variables, x1, x2, ..., xn is an equation of the forma1x1 + a2x2 + ... + anxn = y where the ai are constants.A system of linear equations is a set of m linear equations in n unknown variables. There need not be any relationship between m and n. The system may have none, one or many solutions.